Details

Time bar (total: 3.3s)

analyze880.0ms (26.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample27.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
3.0ms79×body80invalid

simplify32.0ms (1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

prune12.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.1b
(/ (* y (- z t)) a)

rewrite23.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls

3 calls:

11.0ms
(/ (* y (- z t)) a)
6.0ms
(* y (- z t))
5.0ms
(- x (/ (* y (- z t)) a))

series33.0ms (1%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(- x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)
7.0ms
(* y (- z t))

simplify35.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05000603

prune99.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh011
Picked011
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- t z)))
6.1b
(* (/ y a) (- t z))

rewrite14.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls

2 calls:

8.0ms
(* (/ y a) (- t z))
4.0ms
(+ x (* (/ y a) (- t z)))

series26.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(+ x (* (/ y a) (- t z)))
12.0ms
(* (/ y a) (- t z))

simplify33.0ms (1%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05011583

prune79.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done011
Total59665

Merged error: 0b

Counts
65 → 6

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.2b
(/ 1 (/ a (* y (- z t))))
6.1b
(/ a (* y (- z t)))

rewrite35.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×frac-2neg clear-num
1×distribute-rgt-in pow-flip distribute-lft-in diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 127
Calls

4 calls:

11.0ms
(- x (/ 1 (/ a (* y (- z t)))))
8.0ms
(/ 1 (/ a (* y (- z t))))
6.0ms
(/ a (* y (- z t)))
6.0ms
(* y (- z t))

series46.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(- x (/ 1 (/ a (* y (- z t)))))
14.0ms
(/ 1 (/ a (* y (- z t))))
10.0ms
(/ a (* y (- z t)))
7.0ms
(* y (- z t))

simplify42.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049991428
149991428

prune160.0ms (4.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh033
Picked011
Done022
Total1396145

Merged error: 0b

Counts
145 → 6

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
6.1b
(* (* y (- z t)) (/ 1 a))

rewrite21.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×flip3-- div-exp associate-*l* pow-prod-down flip--
3×sub-neg
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative
1×distribute-rgt-in distribute-lft-in diff-log un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 77
Calls

3 calls:

9.0ms
(* (* y (- z t)) (/ 1 a))
6.0ms
(* y (- z t))
3.0ms
(- x (* (* y (- z t)) (/ 1 a)))

series35.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(- x (* (* y (- z t)) (/ 1 a)))
11.0ms
(* (* y (- z t)) (/ 1 a))
7.0ms
(* y (- z t))

simplify34.0ms (1%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05007753

prune94.0ms (2.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done033
Total86692

Merged error: 0b

Counts
92 → 6

regimes833.0ms (25%)

Accuracy

Total 0.4b remaining (97.4%)

Threshold costs 0.4b (97.4%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08037
18037

end0.0ms (0%)

sample701.0ms (21.1%)

Algorithm
1×intervals
Results
280.0ms8000×body80valid
92.0ms2628×body80invalid

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